Search a number
-
+
20673228570912 = 2533211113399753
BaseRepresentation
bin1001011001101010111000…
…11100100000000100100000
32201012100012211210101201000
410230311130130200010200
510202202233003232122
6111545052230512000
74232406606323511
oct454653434400440
981170184711630
1020673228570912
11665051563a825
12239a73a505600
13b6c62821ba78
14516837c1ca08
1525cb589a80ac
hex12cd5c720120

20673228570912 has 96 divisors (see below), whose sum is σ = 60582684576960. Its totient is φ = 6858417000960.

The previous prime is 20673228570881. The next prime is 20673228570923. The reversal of 20673228570912 is 21907582237602.

20673228570912 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 32 + 28 + 570 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56517573 + ... + 56882180.

It is an arithmetic number, because the mean of its divisors is an integer number (631069631010).

Almost surely, 220673228570912 is an apocalyptic number.

It is an amenable number.

20673228570912 is an abundant number, since it is smaller than the sum of its proper divisors (39909456006048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20673228570912 is a wasteful number, since it uses less digits than its factorization.

20673228570912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113399983 (or 113399969 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 20673228570912 in words is "twenty trillion, six hundred seventy-three billion, two hundred twenty-eight million, five hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 211 216 288 422 432 633 844 864 1266 1688 1899 2532 3376 3798 5064 5697 6752 7596 10128 11394 15192 20256 22788 30384 45576 60768 91152 182304 113399753 226799506 340199259 453599012 680398518 907198024 1020597777 1360797036 1814396048 2041195554 2721594072 3061793331 3628792096 4082391108 5443188144 6123586662 8164782216 10886376288 12247173324 16329564432 23927347883 24494346648 32659128864 47854695766 48988693296 71782043649 95709391532 97977386592 143564087298 191418783064 215346130947 287128174596 382837566128 430692261894 574256349192 646038392841 765675132256 861384523788 1148512698384 1292076785682 1722769047576 2297025396768 2584153571364 3445538095152 5168307142728 6891076190304 10336614285456 20673228570912